Find Trend and Plunge from Map Trace and Elevation

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay
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This is a simple problem, best illustrated by example. Note that unlike strike, plunge has a unique direction. A plane striking 058 is the same as one striking 238, but a line trending 058 is not the same as one trending 238. Trend is the direction down the plunge of the line.

+-----------------------------+   +-----------------------------+ 
|1       x 900                |   |2       \                    |
|         \                   |   |         \                   |
|          \                  |   |          \                  |
|           \                 |   |           \                 |
|            \                |   |            \                |
|             x 1000          |   |             \       |       |
|              \              |   |              \      |       |
|               \             |   |               \     |       |
|                \            |   |                \    |       |
|                 \           |   |                 \328|       |
|                  \ 1100     |   |                  \  |       |
|                   x         |   |                   \ |       |
| CONTOUR INTERVAL = 100 M    |   |                    \|       |
|                             |   |                     \       |
| 0   100  200 M              |   | 0   100  200 M       \      |
| |----I----|     SCALE       |   | |----I----|     SCALE       |
+-----------------------------+   +-----------------------------+ 
1. Find the trend and plunge      2. The trend is merely the
   of the borehole shown.            azimuth of the map trace


+-----------------------------+   +-----------------------------+ 
|3                            |   |4       x 900 m              |
|                             |   |         \                   |
|                             |   |          \                  |
| |-----------|-----------|   |   |           \                 |
|   o +       |           |   |   |            \                |
| 23      +   |           |   |   |             x 1000          |
|             +-----------+   |   |              \              |
|                 +       |   |   | Trend = 328   \             |
|                     +   |   |   | Plunge = 23    \            |
|                         +   |   |                 \           |
|                             |   |                  \          |
| Tan P = 100/240 = 0.416     |   |                   x 1100    |
| P = 22.6                    |   |                    \        |
|                             |   |                     \       |
| 0   100  200 M              |   | 0   100  200 M       \      |
| |----I----|     SCALE       |   | |----I----|     SCALE       |
+-----------------------------+   +-----------------------------+ 
3. Determine spacing of elevation   4. Final result
   points using a cross-section
   or trigonometry.

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Created 5 January 1999, Last Update 5 January 1999
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